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Finding the Fourth Proportional to 23,823.72, 32,877.90 and 13,213.13

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Solution

The fourth proportional to 23,823.72, 32,877.90 and 13,213.13 is: 18,234.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,823.72 : 32,877.90 = 13,213.13 : x
  2. Step 2: Convert to fraction form
    23,823.72/32,877.90 = 13,213.13/x
  3. Step 3: Cross multiply
    23,823.72x = 32,877.90 × 13,213.13
  4. Step 4: Simplify right side
    23,823.72x = 434,419,802.44
  5. Step 5: Solve for x
    x = 434,419,802.44/23,823.72
  6. Step 6: Final answer
    x = 18,234.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.